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Finding the Fourth Proportional to 368,902.79, 509,072.41 and 205,550.86

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Solution

The fourth proportional to 368,902.79, 509,072.41 and 205,550.86 is: 283,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,902.79 : 509,072.41 = 205,550.86 : x
  2. Step 2: Convert to fraction form
    368,902.79/509,072.41 = 205,550.86/x
  3. Step 3: Cross multiply
    368,902.79x = 509,072.41 × 205,550.86
  4. Step 4: Simplify right side
    368,902.79x = 104,640,268,104.66
  5. Step 5: Solve for x
    x = 104,640,268,104.66/368,902.79
  6. Step 6: Final answer
    x = 283,652.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.